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Finding the Fourth Proportional to 201,788.84, 302,683.26 and 95,147.98

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Solution

The fourth proportional to 201,788.84, 302,683.26 and 95,147.98 is: 142,721.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,788.84 : 302,683.26 = 95,147.98 : x
  2. Step 2: Convert to fraction form
    201,788.84/302,683.26 = 95,147.98/x
  3. Step 3: Cross multiply
    201,788.84x = 302,683.26 × 95,147.98
  4. Step 4: Simplify right side
    201,788.84x = 28,799,700,768.81
  5. Step 5: Solve for x
    x = 28,799,700,768.81/201,788.84
  6. Step 6: Final answer
    x = 142,721.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.